Results 91 to 100 of about 169,397,941 (109)

Point Location in Arrangements of Hyperplanes [PDF]

open access: yesInformation and Computation, 1993
We present a solution to the point location problem in arrangements of hyperplanes in Ed with running time O(d5 log n) and space O(nd+κ) for arbitrary κ > 0, where n is the number of hyperplanes. The main result is the d5 factor in the expression for the
Meiser, S.
exaly   +2 more sources

q-algebras and arrangements of hyperplanes [PDF]

open access: yesJournal of Algebra, 2004
Varchenko's approach to quantum groups, from the theory of arrangements of hyperplanes, can be usefully applied to q-algebras in general, of which quantum groups and quantum (super) Kac–Moody algebras are special cases.
Christian Frønsdal
exaly   +2 more sources

Cells with many facets in arrangements of hyperplanes [PDF]

open access: yesDiscrete Mathematics, 1991
For every n, d, n⩾2d+1⩾5, we prove the existence of an arrangement H of n hyperplanes in the real projective space Pd, such that exactly ∑d−2i=0(n−1i cells of H are bounded by every hyperplane of H.
Jean-Pierre Roudneff
exaly   +2 more sources

A lower bound on the number of cells in arrangements of hyperplanes [PDF]

open access: yesJournal of Combinatorial Theory - Series A, 1976
Lower bounds on the numbers of k-cells in arrangements of hyperplanes are found.
Shannon, Robert W
exaly   +2 more sources
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ARRANGEMENTS OF HYPERPLANES IN ℝ3AND THEIR FREENESS

Honam Mathematical Journal, 2009
Ki-Suk Lee
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Combinatorial simpliciality of arrangements of hyperplanes

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Constructing Arrangements of Lines and Hyperplanes with Applications

SIAM Journal on Computing, 1986
Herbert Edelsbrunner, J O'Rourke
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Free arrangements of hyperplanes and supersolvable lattices

Advances in Mathematics, 1984
Hiroaki Terao
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